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LCM of 174, 769, 239, 144, 769

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 174, 769, 239, 144, 769 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 174, 769, 239, 144, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 174,769,239,144,769

Given numbers are 174,769,239,144,769

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 174,769,239,144,769 is 767511216.

Find LCM of 174,769,239,144,769 with Prime Factorization


2 174, 769, 239, 144, 769
3 87, 769, 239, 72, 769
769 29, 769, 239, 24, 769
29, 1, 239, 24, 1

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 769 x 29 x 1 x 239 x 24 x 1 = 767511216

Therefore, the lowest common multiple of 174,769,239,144,769 is 767511216.

LCM Formula to Find Lowest Common Multiple of 174,769,239,144,769

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

174 x 769 x 239 x 144 x 769 = 3541296750624

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

174 : 1, 2, 3, 6, 29, 58, 87, 174

769 : 1, 769

239 : 1, 239

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,769,239,144,769, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

769:769

239:239

144:2x 2x 2x 2x 3x 3

769:769

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 769 = 4614

Therefore, the value for common factors is 4614.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3541296750624/(1x4614)

LCM = 3541296750624/4614

LCM = 767511216

Thus, we can understand that the LCM of 174,769,239,144,769 is 767511216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 174, 769, 239, 144, 769

1. What is the LCM of 174, 769, 239, 144, 769?

Answer: LCM of 174, 769, 239, 144, 769 is 767511216.

2. How to calculate the LCM of 174, 769, 239, 144, 769?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 174, 769, 239, 144, 769.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.